Q: What are the prime factors of the number 653,602,132?

 A: 2, 23, 293, 24247

Why are those the prime factors of the number 653,602,132?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 653,602,132

653,602,132
Factor Arrows
2326,801,066
Factor Arrows
2163,400,533
Factor Arrows
237,104,371
Factor Arrows
29324,247

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 23, 293, 24247

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 293 x 24,247 = 653,602,132

This can also be written as 22 x 231 x 2931 x 24,2471 = 653,602,132

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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